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Description
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Volume has the dimension length cubed. The SI composite unit of volume is the meter cubed.
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Maple knows the units of volume listed in the following table.
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Name
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Symbols
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Context
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Alternate Spellings
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Prefixes
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liter
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L, l
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SI *
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liters, litre, litres
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SI-
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stere
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standard *
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steres
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SI
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gallon
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gal
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US_liquid *
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gallons
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US_dry
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UK
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old_CA
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drop
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US_liquid *
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drops
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UK
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minim
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US_liquid *
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minims
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UK
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drachm
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US_liquid
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drachms, dram, drams
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UK
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ounce
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US_liquid *
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ounces
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UK
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tablespoon
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tbsp, Tsp, tblsp
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US_liquid *
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tablespoons
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UK
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AU
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dessertspoon
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dsp
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US_liquid *
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dessertspoons
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UK
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teaspoon
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tsp
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US_liquid *
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teaspoons
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UK
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pinch
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US_liquid *
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pinches
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dash
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US_liquid *
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dashes
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gill
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US_liquid *
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gills
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UK
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cup
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US_liquid *
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cups
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UK
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pint
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US_liquid *
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pints
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US_dry
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UK
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fifth
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US_liquid *
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quarts
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quart
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US_liquid *
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quarts
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US_dry
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UK
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pottle
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US_liquid *
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pottles
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US_dry
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UK
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peck
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US_dry *
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pecks
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UK
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bucket
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US_liquid *
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buckets
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UK
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bushel
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US_dry *
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bushels
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US_dry_heaped
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UK
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strike
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US_dry *
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strikes
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UK
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bag
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US_dry *
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bags
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UK
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sack
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US_dry *
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sacks
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UK
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coombe
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US_dry *
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coombes
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UK
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seam
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US_dry *
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seams
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UK
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butt
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US_dry *
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butts
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UK
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last
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US_dry *
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lasts
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UK
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ton
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freight
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tons
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register
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barrel
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US_petroleum
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barrels
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US_liquid
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US_dry
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UK_petroleum
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UK
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bulk
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barge
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US_petroleum
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barges
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barrique
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wine
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barriques
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bath
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Sacred
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baths
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Talmudic
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belshazzar
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metric
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belshazzars
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bottle
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metric
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bottles
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cab
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Sacred
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cabs
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Talmudic
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cor
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Sacred
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cors, homer, homers
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Talmudic
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cord
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UK
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cords
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ephah
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Sacred
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ephahs
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Talmudic
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firkin
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beer
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firkins
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hin
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Sacred
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hins
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Talmudic
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hogshead
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UK
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hogsheads
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beer
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jeroboam
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metric
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jeroboams
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lamdba
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Volume
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lambdas
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lethech
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Sacred
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lethechs
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Talmudic
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log
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Sacred
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logs
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Talmudic
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magnum
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metric
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magna
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methusalah
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metric
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muthusalahs
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nebuchadnezzar
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metric
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nebuchadnezzars
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pied_measure_planche
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standard
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pin
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beer
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pins
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puncheon
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beer
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puncheons
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rehoboam
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metric
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rehoboams
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salmarazd
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metric
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salmarazds
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seah
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Sacred
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seahs
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Talmudic
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tun
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beer
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tuns
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planck_volume
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planck *
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planck_volumes
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An asterisk ( * ) indicates the default context, an at sign (@) indicates an abbreviation, and under the prefixes column, SI indicates that the unit takes all SI prefixes, IEC indicates that the unit takes IEC prefixes, and SI+ and SI- indicate that the unit takes only positive and negative SI prefixes, respectively. Refer to a unit in the Units package by indexing the name or symbol with the context, for example, liter[SI] or tbsp[US_liquid]; or, if the context is indicated as the default, by using only the unit name or symbol, for example, liter or tbsp.
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The units of volume are defined as follows.
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An liter is defined as a cubic decimeter.
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An stere is defined as a cubic meter.
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A planck volume is defined as a cubic planck length.
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US Dry, US Liquid, and UK Volumes
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The UK gallon was originally set to be the volume occupied by 10 avoirdupois pounds of water at 60 degrees Fahrenheit. It has been redefined as liters.
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For some time in the earlier half of the 20th century, the old Canadian gallon was defined liters, differing in approximately part per quarter million.
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A US liquid gallon is defined as cubic inches.
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A US dry gallon is defined as the volume of a cylinder inch high and inches in diameter, or cubic inches.
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A drop or minim is defined as drachm.
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A drachm or dram is defined as ounce.
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A UK ounce is defined as UK gallon.
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A US ounce is defined as US gallon.
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A US tablespoon is defined as US ounce.
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A UK tablespoon is defined as milliliters.
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An Australian tablespoon is defined as milliliters.
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A dessertspoon is defined as teaspoons.
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A teaspoon is defined as tablespoon.
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A pinch is defined as teaspoon.
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A dash is defined as pinch.
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A gill is defined as gallon.
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A cup is defined as gallon.
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A pint is defined as gallon.
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A fifth is defined as gallon.
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A quart is defined as gallon.
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A pottle is defined as gallon.
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A peck is defined as gallons.
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A bucket is defined as gallons.
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A bushel is defined as gallons.
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A heaped bushel is defined as bushels.
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A strike is defined as bushels.
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A bag or sack is defined as bushels.
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A coombe is defined as bushels.
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A seam is defined as bushels.
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A butt is defined as bushels.
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A last is defined as bushels.
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Tons, Barrels, and Barges
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A freight ton is defined as standard cubic feet.
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A register ton is defined as standard cubic feet.
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A UK barrel is defined as UK gallons.
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A bulk barrel is defined as cubic feet.
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A US dry barrel is defined as US dry quarts.
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A US liquid barrel is defined as US liquid quarts.
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A US barrel of petroleum is defined as US liquid gallons.
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A UK barrel of petroleum is defined as UK liquid gallons.
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A US barge of petroleum is defined as US liquid gallons.
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•
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A UK barrel of petroleum is approximately parts per thousand less than a US barrel of petroleum.
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Examples
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>
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>
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>
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>
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>
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>
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